relations and functions. a relation is _____________________________...
TRANSCRIPT
There are four ways to represent a relation:
ORDERED PAIRS{(1, 5), (2, 3), (3, 2), (4, 1)}
TABLE OF VALUES GRAPH MAPPING DIAGRAM
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The domain of a relation is _________________________________________________________________.
The range of a relation is ___________________________________________________________________.
ExamplesDetermine the domain and range for each relation.3. 4. 5.
D: ________ D: _________ D: _________ R: ________ R: _________ R: _________
The function is ___________________________________________________________________________.
ExamplesDetermine the domain and range for each relation. Then determine whether the relation is a function.6. {(3, -2), (5, -1), (4, 0), (3, 1)}
D: ____________________
R: ____________________
Function? _____________
ExamplesDetermine the domain and range for each relation. Then determine whether the relation is a function.7. 8.
D: ___________ D: _____________
R: ___________ R: _____________
Function? _____ Function? _______
The vertical line test is ___________________________________________________________________.
ExamplesUse the vertical line test to determine whether the graph shows a function. 9. 10. 11.
Putting It All TogetherDetermine the domain and range for each relation. Then determine whether the relation is a function.12. 13. 14.
D: ________ D: ________ D: ________
R: ________ R: ________ R: ________
Function? __ Function? __ Function? __
1) Graph the function for the given domain: x – 3y = -6; D: {-3, 0, 3, 6}
Step 1: ________________________________________________________
Step 2: ________________________________
Step 3: ___________________________________
x y
2) Graph the function for the given domain: f(x) = x2 - 3; D: {-2, -1, 0, 1, 2}
**Reminder**___________________________________________________
x y
We are not always given a specific set of domain values. When that is the case, we assume that the domain is _________________________________. In other words, ________________________________________________________________________________________________________________________________________________________________________________
6) Graph the function -x + 2y = 6
x y
Finding Values Using Graphs9) Use the graph of the function f(x) = x + 4 to find the value of f(x) when x = -4
Check:
Finding Values Using Graphs10) Use the graph of the function f(x) = x + 2 to find the value of f(x) when x = 3
Check: